I set up a little test tree, which just 2 people - my great great grandfather, who died in 1896, because there are many Georgia Property Tax records for him, from the 1840s through the 1890s. I'm the other person in the tree, to have someone who is living.
I'm not in any census - a little young for that - but any Public Records or Telephone Directory listing changes me to Private.
Yesterday the tax records would only attach using Beta - which creates multiple military records in the timeline. Today, the tax records will again attach using the Vintage process.
Have you tested saving a 2nd record to someone that the system attempted to change to Private, and you overwrote with the correct name? I think - have not tested enough to verify - I'm seeing that it may not try to change again. We still should not have to do that, but it might be worth watching.